Search a number
-
+
160963540 = 22541732689
BaseRepresentation
bin10011001100000…
…01101111010100
3102012212210110121
421212001233110
5312201313130
623550001324
73663111313
oct1146015724
9365783417
10160963540
1182950321
1245aa6244
132746a1ca
141754027a
15e1e7d7a
hex9981bd4

160963540 has 48 divisors (see below), whose sum is σ = 351141840. Its totient is φ = 61931520.

The previous prime is 160963519. The next prime is 160963549. The reversal of 160963540 is 45369061.

It can be written as a sum of positive squares in 8 ways, for example, as 53758224 + 107205316 = 7332^2 + 10354^2 .

It is a super-2 number, since 2×1609635402 = 51818522418663200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 160963496 and 160963505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160963549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58516 + ... + 61204.

It is an arithmetic number, because the mean of its divisors is an integer number (7315455).

Almost surely, 2160963540 is an apocalyptic number.

160963540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160963540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175570920).

160963540 is an abundant number, since it is smaller than the sum of its proper divisors (190178300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

160963540 is a wasteful number, since it uses less digits than its factorization.

160963540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 160963540 is about 12687.1407338297. The cubic root of 160963540 is about 543.9711138425.

The spelling of 160963540 in words is "one hundred sixty million, nine hundred sixty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 41 73 82 146 164 205 292 365 410 730 820 1460 2689 2993 5378 5986 10756 11972 13445 14965 26890 29930 53780 59860 110249 196297 220498 392594 440996 551245 785188 981485 1102490 1962970 2204980 3925940 8048177 16096354 32192708 40240885 80481770 160963540